Solve for x
x=-\frac{1}{4}=-0.25
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20x+5\left(2x-3\right)=10x-40-44x+9
Multiply both sides of the equation by 20, the least common multiple of 4,2,5,20.
20x+10x-15=10x-40-44x+9
Use the distributive property to multiply 5 by 2x-3.
30x-15=10x-40-44x+9
Combine 20x and 10x to get 30x.
30x-15=-34x-40+9
Combine 10x and -44x to get -34x.
30x-15=-34x-31
Add -40 and 9 to get -31.
30x-15+34x=-31
Add 34x to both sides.
64x-15=-31
Combine 30x and 34x to get 64x.
64x=-31+15
Add 15 to both sides.
64x=-16
Add -31 and 15 to get -16.
x=\frac{-16}{64}
Divide both sides by 64.
x=-\frac{1}{4}
Reduce the fraction \frac{-16}{64} to lowest terms by extracting and canceling out 16.
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